Question

Find an equation for the line through the origin that is perpendicular to the line ax + by = c.

Perpendicular slopes = Opposite reciprocals

Answer 1

by=-ax+c -> y=(-a/b)x+c/b
so it will be y=(b/a)x+d -> ay-bx=d

Answer 2

What is the slope of the line ax + by = c also?

Answer 3

-a/b

Answer 4

-bx + ay = c
put x,y = 0,0 ... c=0